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Related Experiment Video

Updated: Apr 5, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
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Mathematics and mysticism.

Ralph Abraham1

  • 1Mathematics Department, University of California, Santa Cruz, CA, 95064, USA.

Progress in Biophysics and Molecular Biology
|August 18, 2015
PubMed
Summary
This summary is machine-generated.

This article explores the philosophical nature of mathematical reality, questioning if it exists independently or is a human construct. It examines this through the lens of ancient mystical traditions.

Keywords:
DivinationMath creativityMeditationPsychedelics

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Area of Science:

  • Philosophy of Mathematics
  • Metaphysics
  • History of Science

Background:

  • Plato's theory of Forms posits a realm of perfect mathematical ideals.
  • The nature of mathematical reality is debated: is it discovered or invented?
  • Ancient mystical traditions offer unique perspectives on reality and consciousness.

Purpose of the Study:

  • To speculate on the ontological status of mathematical reality.
  • To explore connections between mathematical concepts and mystical experiences.
  • To examine mathematical reality through non-Western philosophical frameworks.

Main Methods:

  • Philosophical inquiry and speculation.
  • Comparative analysis of Platonic philosophy and mystical cosmologies.
  • Exploration of historical texts on meditation, psychedelics, and divination.

Main Results:

  • Mystical traditions suggest mathematical concepts may arise from altered states of consciousness.
  • The subjective experience in meditation and psychedelic use can evoke abstract, mathematical-like patterns.
  • Divination practices sometimes involve symbolic systems with mathematical underpinnings.

Conclusions:

  • Mathematical reality might be understood as a product of consciousness, influenced by both innate cognitive structures and cultural/experiential factors.
  • Ancient mystical perspectives provide a rich, alternative framework for understanding the origins and nature of mathematics.
  • Further research into the intersection of consciousness studies and philosophy of mathematics is warranted.